16276124928000 has 1536 divisors, whose sum is σ = 64473189580800. Its totient is φ = 3567255552000.

The previous prime is 16276124927963. The next prime is 16276124928023. The reversal of 16276124928000 is 82942167261.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21165311616 + ... + 21165312384.

It is an arithmetic number, because the mean of its divisors is an integer number (41974732800).

Almost surely, 2^{16276124928000} is an apocalyptic number.

16276124928000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16276124928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32236594790400).

16276124928000 is an abundant number, since it is smaller than the sum of its proper divisors (48197064652800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16276124928000 is a wasteful number, since it uses less digits than its factorization.

16276124928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 16276124928000 in words is "sixteen trillion, two hundred seventy-six billion, one hundred twenty-four million, nine hundred twenty-eight thousand".